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Bayesian Statistics2
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Item Response Theory2
Maximum Likelihood Statistics2
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Applied Psychological…2
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Magis, David2
Raiche, Gilles2
Beland, Sebastien1
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A Test-Length Correction to the Estimation of Extreme Proficiency Levels
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Magis, David; Beland, Sebastien; Raiche, Gilles – Applied Psychological Measurement, 2011
In this study, the estimation of extremely large or extremely small proficiency levels, given the item parameters of a logistic item response model, is investigated. On one hand, the estimation of proficiency levels by maximum likelihood (ML), despite being asymptotically unbiased, may yield infinite estimates. On the other hand, with an…
Descriptors: Test Length, Computation, Item Response Theory, Maximum Likelihood Statistics
An Iterative Maximum a Posteriori Estimation of Proficiency Level to Detect Multiple Local Likelihood Maxima
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Magis, David; Raiche, Gilles – Applied Psychological Measurement, 2010
In this article the authors focus on the issue of the nonuniqueness of the maximum likelihood (ML) estimator of proficiency level in item response theory (with special attention to logistic models). The usual maximum a posteriori (MAP) method offers a good alternative within that framework; however, this article highlights some drawbacks of its…
Descriptors: Maximum Likelihood Statistics, Computation, Bayesian Statistics, Item Response Theory